x^2*x^2*2x^2/1*200*9 eching

$$\frac { x ^ { 2 } \times x ^ { 2 } \times 2 x ^ { 2 } } { 1 \times 200 \times 9 }$$

Baholash

$$\frac{x^{6}}{900}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{x^{4}\times 2x^{2}}{1\times 200\times 9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$\frac{x^{6}\times 2}{1\times 200\times 9}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{x^{6}}{9\times 100}$$

900 hosil qilish uchun 9 va 100 ni ko'paytirish.

$$\frac{x^{6}}{900}$$

x ga nisbatan hosilani topish

$$\frac{x^{5}}{150}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}\times 2x^{2}}{1\times 200\times 9})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{6}\times 2}{1\times 200\times 9})$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{6}}{9\times 100})$$

900 hosil qilish uchun 9 va 100 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{6}}{900})$$

ax^{n} hosilasi – nax^{n-1}.

$$6\times \frac{1}{900}x^{6-1}$$

6 ni \frac{1}{900} marotabaga ko'paytirish.

$$\frac{1}{150}x^{6-1}$$

6 dan 1 ni ayirish.

$$\frac{1}{150}x^{5}$$